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10868303007576 = 233271311674312287
BaseRepresentation
bin1001111000100111100101…
…0101110000111101011000
31102110222222201112021201100
42132021321111300331120
52411031241032220301
635040455055551400
72201131452211230
oct236117125607530
942428881467640
1010868303007576
113510248791303
12127642482b560
1360ab51ab6bc1
14298058968cc0
1513ca99888286
hex9e279570f58

10868303007576 has 384 divisors, whose sum is σ = 34193816616960. Its totient is φ = 3054630009600.

The previous prime is 10868303007563. The next prime is 10868303007587. The reversal of 10868303007576 is 67570030386801.

10868303007576 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 8 + 30 + 30 + 0 + 7 + 576 = 666.

It is a super-2 number, since 2×108683030075762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4752208305 + ... + 4752210591.

It is an arithmetic number, because the mean of its divisors is an integer number (89046397440).

Almost surely, 210868303007576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10868303007576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096908308480).

10868303007576 is an abundant number, since it is smaller than the sum of its proper divisors (23325513609384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10868303007576 is a wasteful number, since it uses less digits than its factorization.

10868303007576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10868303007576 in words is "ten trillion, eight hundred sixty-eight billion, three hundred three million, seven thousand, five hundred seventy-six".